Vector Calculus

Vector Calculus
Author: Paul C. Matthews
Publisher: Springer Science & Business Media
Total Pages: 189
Release: 2012-12-06
Genre: Mathematics
ISBN: 1447105974

Vector calculus is the fundamental language of mathematical physics. It pro vides a way to describe physical quantities in three-dimensional space and the way in which these quantities vary. Many topics in the physical sciences can be analysed mathematically using the techniques of vector calculus. These top ics include fluid dynamics, solid mechanics and electromagnetism, all of which involve a description of vector and scalar quantities in three dimensions. This book assumes no previous knowledge of vectors. However, it is assumed that the reader has a knowledge of basic calculus, including differentiation, integration and partial differentiation. Some knowledge of linear algebra is also required, particularly the concepts of matrices and determinants. The book is designed to be self-contained, so that it is suitable for a pro gramme of individual study. Each of the eight chapters introduces a new topic, and to facilitate understanding of the material, frequent reference is made to physical applications. The physical nature of the subject is clarified with over sixty diagrams, which provide an important aid to the comprehension of the new concepts. Following the introduction of each new topic, worked examples are provided. It is essential that these are studied carefully, so that a full un derstanding is developed before moving ahead. Like much of mathematics, each section of the book is built on the foundations laid in the earlier sections and chapters.

A History of Vector Analysis

A History of Vector Analysis
Author: Michael J. Crowe
Publisher: Courier Corporation
Total Pages: 306
Release: 1994-01-01
Genre: Mathematics
ISBN: 0486679101

Prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers to the final acceptance around 1910 of the modern system of vector analysis.

Vector Calculus

Vector Calculus
Author: Miroslav Lovric
Publisher: John Wiley & Sons
Total Pages: 638
Release: 2007-01-03
Genre: Mathematics
ISBN: 0471725692

This book gives a comprehensive and thorough introduction to ideas and major results of the theory of functions of several variables and of modern vector calculus in two and three dimensions. Clear and easy-to-follow writing style, carefully crafted examples, wide spectrum of applications and numerous illustrations, diagrams, and graphs invite students to use the textbook actively, helping them to both enforce their understanding of the material and to brush up on necessary technical and computational skills. Particular attention has been given to the material that some students find challenging, such as the chain rule, Implicit Function Theorem, parametrizations, or the Change of Variables Theorem.

Multivariable and Vector Calculus

Multivariable and Vector Calculus
Author: Sarhan M. Musa
Publisher: Mercury Learning and Information
Total Pages: 491
Release: 2023-02-08
Genre: Mathematics
ISBN: 1683929179

This book is designed primarily for undergraduates in mathematics, engineering, and the physical sciences. Rather than concentrating on technical skills, it focuses on a deeper understanding of the subject by providing many unusual and challenging examples. The basic topics of vector geometry, differentiation and integration in several variables are explored. Furthermore, it can be used to impower the mathematical knowledge for Artificial Intelligence (AI) concepts. It also provides numerous computer illustrations and tutorials using MATLAB® and Maple®, that bridge the gap between analysis and computation. Partial solutions and instructor ancillaries available for use as a textbook. FEATURES Includes numerous computer illustrations and tutorials using MATLAB®and Maple® Covers the major topics of vector geometry, differentiation, and integration in several variables Instructors’ ancillaries available upon adoption

Vector Analysis Versus Vector Calculus

Vector Analysis Versus Vector Calculus
Author: Antonio Galbis
Publisher: Springer Science & Business Media
Total Pages: 383
Release: 2012-03-29
Genre: Mathematics
ISBN: 1461422000

The aim of this book is to facilitate the use of Stokes' Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this through to concrete applications in two and three variables. Key topics include vectors and vector fields, line integrals, regular k-surfaces, flux of a vector field, orientation of a surface, differential forms, Stokes' theorem, and divergence theorem. This book is intended for upper undergraduate students who have completed a standard introduction to differential and integral calculus for functions of several variables. The book can also be useful to engineering and physics students who know how to handle the theorems of Green, Stokes and Gauss, but would like to explore the topic further.

A TEXTBOOK OF VECTOR CALCULUS

A TEXTBOOK OF VECTOR CALCULUS
Author: SHANTI NARAYAN
Publisher: S. Chand Publishing
Total Pages: 368
Release: 2003
Genre: Mathematics
ISBN: 8121901618

A TEXTBOOK OF VECTOR CALCULUS

Vector Calculus

Vector Calculus
Author: Jerrold E. Marsden
Publisher: Macmillan
Total Pages: 712
Release: 2003-08
Genre: Mathematics
ISBN: 9780716749929

'Vector Calculus' helps students foster computational skills and intuitive understanding with a careful balance of theory, applications, and optional materials. This new edition offers revised coverage in several areas as well as a large number of new exercises and expansion of historical notes.

Vector Calculus

Vector Calculus
Author: Jerrold E. Marsden
Publisher: W.H. Freeman
Total Pages: 624
Release: 1981
Genre: Mathematics
ISBN:

Multivariable Mathematics

Multivariable Mathematics
Author: Theodore Shifrin
Publisher: John Wiley & Sons
Total Pages: 514
Release: 2004-01-26
Genre: Mathematics
ISBN: 047152638X

Multivariable Mathematics combines linear algebra and multivariable mathematics in a rigorous approach. The material is integrated to emphasize the recurring theme of implicit versus explicit that persists in linear algebra and analysis. In the text, the author includes all of the standard computational material found in the usual linear algebra and multivariable calculus courses, and more, interweaving the material as effectively as possible, and also includes complete proofs. * Contains plenty of examples, clear proofs, and significant motivation for the crucial concepts. * Numerous exercises of varying levels of difficulty, both computational and more proof-oriented. * Exercises are arranged in order of increasing difficulty.